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Simplifying 11x2 + 25x = 24 Reorder the terms: 25x + 11x2 = 24 Solving 25x + 11x2 = 24 Solving for variable 'x'. Reorder the terms: -24 + 25x + 11x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 25x + 11x2 = 0 Factor a trinomial. (-3 + -1x)(8 + -11x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(8 + -11x)' equal to zero and attempt to solve: Simplifying 8 + -11x = 0 Solving 8 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 0 + -8 -11x = 0 + -8 Combine like terms: 0 + -8 = -8 -11x = -8 Divide each side by '-11'. x = 0.7272727273 Simplifying x = 0.7272727273Solution
x = {-3, 0.7272727273}
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